SSC GD 2023 PYQ — Question 52

SSC GD Constable (English) - 23 Jan 2023 - Shift 3 • Quantitative Aptitude • Q52

How many metallic spheres, each of diameter 3 cm, should be melted to mould into a solid cylinder of diameter 4 cm and height 54 cm?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 48

Let the n metallic sphere be melted

According to the question

The volume of the metallic sphere = The volume of the solid cylinder

n × 4/3 π r³  = πr2h

n × 4/3 (3/2)3 = 22 × 54

n × 9/2 = 4 × 54 = 216

n = 48